Logo Manga 1

Logo Manga 1
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2020-12-15 05:46
This example demonstrates a Logo Manga 1. It involves key mathematical concepts such as vectors, ellipses, and function graphs. The construction uses GeoGebra commands like Vector, Ellipse, and Function Graph. Suitable for high school mathematics education, particularly in coordinate geometry and function graphing.

GeoGebra Commands & Parameters

  1. Vector(A, B) → u
  2. OrthogonalVector(u) → v
  3. LineBisector(A_1, A) → l
  4. Line(A, B) → s
  5. OrthogonalLine(D, s) → i
  6. OrthogonalLine(A, s) → b
  7. OrthogonalLine(F, b) → f
  8. Mirror(f, l) → f'
  9. Intersect(i, f') → E
  10. Mirror(f, l) → f'_1
  11. LineBisector(A, B) → m
  12. OrthogonalLine(B, u, xOyPlane) → g
  13. Mirror(i, m) → i'
  14. Intersect(m, f) → G
  15. Intersect(i', f') → P
  16. OrthogonalLine(A_1, b) → r
  17. Intersect(m, l) → K
  18. Intersect(i, l) → J
  19. Intersect(g, r) → C
  20. Mirror(F, l) → F'
  21. Polygon(A_1, C, B, A) → c4, a_1, c_3, b_2, a_2
  22. Mirror(E, l) → E'
  23. OrthogonalLine(H, b) → j
  24. LineBisector(F, H) → r_2
  25. Circle(N, O) → c
  26. Line(E, B) → h
  27. CircumcircleArc(R, M, Q) → d
  28. Line(R, h) → k
  29. Intersect(c, k) → S, T
  30. Segment(R, S) → p
  31. Line(Z, l) → t
  32. Line(W, l) → a
  33. Intersect(c, t) → B_1, C_1
  34. Intersect(c, a) → D_1, E_1
  35. Line(F_1, l) → e
  36. Circle(G_1, H_1) → c_1
  37. OrthogonalLine(R, t) → f_1
  38. Intersect(a, f_1) → I_1
  39. Intersect(e, f_1) → J_1
  40. Semicircle(J_1, I_1) → d_1
  41. Polygon(J_1, I_1, W, F_1) → q1, j_1, i_1, w, g_1
  42. Semicircle(J_1, I_1) → h_1
  43. Polygon(B_1, C_1, E_1, D_1) → q2, b_1, k_1, l_1, m_1
  44. CircumcircleArc(N_1, M_1, L_1) → p_1
  45. CircumcircleArc(P_1, O_1, N_1) → q_1
  46. Segment(L_1, K_1) → n_1
  47. Segment(P_1, Q_1) → r_1
  48. LineBisector(K_1, Q_1) → s_1
  49. Intersect(s_1, h) → V_1
  50. CircleArc(V_1, K_1, Q_1) → t_1
  51. LineBisector(Q_1, G) → f_2
  52. Intersect(f_2, m) → W_1
  53. CircleArc(W_1, Q_1, G) → c_2
  54. CircleArc(K, T_1, R_1) → d_2
  55. LineBisector(U_1, S_1) → g_2
  56. Intersect(g_2, e) → Z_1
  57. CircleArc(Z_1, U_1, S_1) → h_2
  58. Mirror(O, N) → O'
  59. Segment(O', R_1) → i_2
  60. Segment(A_2, B_2) → j_2
  61. Mirror(D_2, m) → E_2
  62. Ellipse(E_2, D_2, C_2) → k_2
  63. CircumcircleArc(Q, V, U) → q
  64. Line(U, k) → n
  65. Intersect(c, n) → L_2, M_2
  66. Segment(U, L_2) → l_2
  67. Mirror(d_1, m) → p_2
  68. Mirror(h_1, m) → q_2
  69. Mirror(J_1, m) → N_2
  70. Mirror(I_1, m) → O_2
  71. Mirror(W, m) → W'
  72. Mirror(F_1, m) → P_2
  73. Polygon(N_2, O_2, W', P_2) → q1', n_2, o_2, w', m_2
  74. Mirror(d_1, m) → s_2
  75. Mirror(Q, m) → Q'
  76. Mirror(V, m) → V'
  77. Mirror(U, m) → U'
  78. CircumcircleArc(Q', V', U') → q'
  79. Mirror(R, m) → R'
  80. Mirror(M, m) → M'
  81. Mirror(Q, m) → Q'_{1}
  82. CircumcircleArc(R', M', Q'_{1}) → d'
  83. Mirror(R, m) → R'_{1}
  84. Mirror(S, m) → S'
  85. Segment(R'_{1}, S') → p'
  86. Mirror(U, m) → U'_{1}
  87. Mirror(L_2, m) → R_2
  88. Segment(U'_{1}, R_2) → t_2
  89. Mirror(c_1, m) → d_3
  90. Mirror(c_2, m) → e_3
  91. Mirror(d_2, m) → f_3
  92. Mirror(t_1, s_1) → g_3
  93. Mirror(P_1, m) → S_2
  94. Mirror(O_1, m) → T_2
  95. Mirror(N_1, m) → U_2
  96. CircumcircleArc(S_2, T_2, U_2) → h_3
  97. Mirror(N_1, m) → V_2
  98. Mirror(M_1, m) → W_2
  99. Mirror(L_1, m) → Z_2
  100. CircumcircleArc(V_2, W_2, Z_2) → k_3
  101. Mirror(g_3, m) → p_3
  102. Mirror(L_1, m) → A_3
  103. Mirror(K_1, m) → B_3
  104. Segment(A_3, B_3) → i_3
  105. Mirror(P_1, m) → C_3
  106. Mirror(Q_1, m) → D_3
  107. Segment(C_3, D_3) → j_3
  108. Mirror(A_2, m) → E_3
  109. Mirror(B_2, m) → F_3
  110. Segment(E_3, F_3) → l_3
  111. Mirror(h_2, m) → q_3
  112. Segment(J_2, K_2) → m_3
  113. Segment(G_3, H_3) → n_3
  114. LineBisector(I_3, Q_2) → r_3
  115. Intersect(r_3, o_2) → J_3
  116. Intersect(o_2, q1') → K_3, L_3
  117. CircleArc(L_3, Q_2, I_3) → s_3
  118. LineBisector(F_2, G_2) → t_3
  119. Intersect(t_3, o_2) → M_3
  120. CircleArc(M_3, G_2, F_2) → c_4
  121. LineBisector(H_2, I_2) → b_3
  122. Intersect(b_3, o_2) → N_3
  123. CircleArc(N_3, I_2, H_2) → d_4
  124. CircleArc(N, C_1, B_1) → e_4

AI Drawing Prompt Reference

Draw a Logo Manga 1 graphic involving vectors, ellipses, and function graphs. Start by creating two orthogonal vectors, then use them to form ellipses and lines. Construct complex geometric shapes through mirroring and intersection operations, and finally add function graphs and arcs to complete a high school mathematics education example combining coordinate geometry and function graphing.
The prompt above was compiled from the original drawing commands and is for reference only.